Greatest Common Factor of 3346/802, 6629/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3346/802, 6629/976

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3346/802,6629/976

Given fractions are 3346/802,6629/976

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3346,6629

Greatest Common Factor of Numerators i.e. GCF of 3346,6629 is 7 .

LCM of Denominators means LCM of 802,976 as per the given fractions.

LCM of 802,976 is 391376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3346,6629

GCF of Fractions 3346/802,6629/976 is 7/391376

7 3346, 6629
478, 947

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3346,6629 By Matching Biggest Common Factor Method

Greatest Common Factor of 3346,6629 By Matching Biggest Common Factor Method

Factors of 3346

List of positive integer factors of 3346 that divides 3346 without a remainder.

1,2,7,14,239,478,1673,3346

Factors of 6629

List of positive integer factors of 6629 that divides 6629 without a remainder.

1,7,947,6629

Greatest Common Factor

We found the factors 3346,6629 . The biggest common factor number is the GCF number.
So the greatest common factor 3346,6629 is 7.

Lets's calculate LCM of 802,976

2 802, 976
401, 488

∴ So the LCM of the given numbers is 2 x 401 x 488 = 391376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/391376

Therefore, the GCF of Fractions 3346/802,6629/976 is 7/391376

Least Common Multiple of 802,976 with GCF Formula

Least Common Multiple of 802,976 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 802,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,976) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(802,976) x common factors =2 x 1 = 2

LCM(802,976) = ( 802 × 976 ) / 2

LCM(802,976) = 782752 / 2

LCM(802,976) = 391376


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3346/802, 6629/976

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3346/802, 6629/976?

Answer: GCF of Numerators as per given numbers 3346/802, 6629/976 is

GCF of Numerators i.e. for 3346,6629 is 7

LCM of denominators i.e. for 802,976 is 391376.

Thus, GCF of Fractions is 7/391376.Finally, GCF of Fractions for 3346/802, 6629/976 is 7/391376.